Home / 3,209.64-4,815.13-1,823.61

Finding the Fourth Proportional to 3,209.64, 4,815.13 and 1,823.61

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Solution

The fourth proportional to 3,209.64, 4,815.13 and 1,823.61 is: 2,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.64 : 4,815.13 = 1,823.61 : x
  2. Step 2: Convert to fraction form
    3,209.64/4,815.13 = 1,823.61/x
  3. Step 3: Cross multiply
    3,209.64x = 4,815.13 × 1,823.61
  4. Step 4: Simplify right side
    3,209.64x = 8,780,919.22
  5. Step 5: Solve for x
    x = 8,780,919.22/3,209.64
  6. Step 6: Final answer
    x = 2,735.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.